Michael C. Cross

Michael C. Cross's AcademicInfluence.com Rankings

Michael C. Cross

Physics

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Physics

Michael C. Cross's Degrees

PhD Physics University of California, Santa Barbara
Masters Physics University of California, Santa Barbara
Bachelors Physics University of California, Santa Barbara

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Michael C. Cross's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Pattern formation outside of equilibrium (1993) (5591)
Pattern Formation and Dynamics in Nonequilibrium Systems (2004) (637)
Nonlinear Dynamics of Nanomechanical and Micromechanical Resonators (2009) (273)
A new theory of the spin-Peierls transition with special relevance to the experiments on TTFCuBDT (1979) (243)
Pinning control of spatiotemporal chaos (1997) (242)
Elastic Wave Transmission at an Abrupt Junction in a Thin Plate, with Application to Heat Transport and Vibrations in Mesoscopic Systems (2000) (214)
Phase synchronization of two anharmonic nanomechanical oscillators. (2013) (198)
Nonlinear dynamics and chaos in two coupled nanomechanical resonators (2008) (177)
Convection patterns in large aspect ratio systems (1984) (155)
Response of parametrically driven nonlinear coupled oscillators with application to micromechanical and nanomechanical resonator arrays (2002) (154)
Sliding conductivity of charge-density waves (1982) (137)
Surpassing fundamental limits of oscillators using nonlinear resonators. (2012) (132)
Heat transport in mesoscopic systems (1998) (131)
A nanoscale parametric feedback oscillator. (2011) (122)
Exotic states in a simple network of nanoelectromechanical oscillators (2019) (119)
Chaotic quivering of micron-scaled on-chip resonators excited by centrifugal optical pressure. (2007) (119)
Nuclear Antiferromagnetic Resonance in Solid 3He (1980) (118)
A generalized Ginzburg-Landau approach to the superfluidity of helium 3 (1975) (116)
Collective quantum jumps of Rydberg atoms. (2011) (113)
Antiferromagnetic phase transition in a nonequilibrium lattice of Rydberg atoms (2011) (113)
Effect of surface roughness on the universal thermal conductance (2000) (110)
The amplitude equation near the convective threshold: application to time-dependent heating experiments (1981) (109)
Wavelength Selection in Systems Far from Equilibrium (1982) (109)
Phase-winding solutions in a finite container above the convective threshold (1983) (108)
Statistical Mechanics, Euler’s Equation, and Jupiter’s Red Spot (1992) (108)
Stochastic dynamics of nanoscale mechanical oscillators immersed in a viscous fluid. (2004) (105)
New theory of the spin-peierls transition with special relevance to the experiments on TTFCuBDT (1979) (102)
Synchronization by nonlinear frequency pulling. (2004) (99)
Effect of phonon scattering by surface roughness on the universal thermal conductance. (2001) (94)
Signal amplification by sensitive control of bifurcation topology. (2011) (93)
Derivation of the amplitude equation at the Rayleigh–Bènard instability (1980) (82)
Ingredients of a theory of convective textures close to onset (1982) (81)
Quantum nondemolition measurement of Fock states of mesoscopic mechanical oscillators (2003) (78)
Effect of magnetic fields on a spin-Peierls transition (1979) (68)
Effect of Distant Sidewalls on Wave-Number Selection in Rayleigh-Bénard Convection (1980) (67)
The stochastic dynamics of micron and nanoscale elastic cantilevers in fluid: fluctuations from dissipation (2006) (66)
Charge states of fast protons in solids (1977) (64)
Phase dynamics of convective rolls (1983) (62)
Intrinsic localized modes in parametrically driven arrays of nonlinear resonators. (2009) (60)
Transitions from partial to complete generalized synchronizations in bidirectionally coupled chaotic oscillators. (2002) (58)
Ballistic spin transport in a two-dimensional electron gas (2000) (54)
Nonlinear dynamics: Chaos in space and time (2000) (54)
Chaotic domains: A numerical investigation. (1994) (50)
Optimal operating points of oscillators using nonlinear resonators. (2012) (46)
Synchronization by reactive coupling and nonlinear frequency pulling. (2005) (45)
Magnetism in solid He-3: Confrontation between theory and experiment (1985) (44)
Pattern formation and dynamics in Rayleigh-Benard convection : numerical simulations of experimentally realistic geometries. (2002) (43)
Textural singularities in the superfluid A phase of3He (1977) (42)
Interfacial Surface Energy between the Superfluid Phases of He3 (1977) (40)
Orbital dynamics of the Anderson-Brinkman-Morel phase of superfluid3He (1977) (39)
Dynamics of charge-density waves in the presence of free carriers (1979) (38)
Collective directed transport of symmetrically coupled lattices in symmetric periodic potentials. (2002) (36)
Novel Magnetic Properties of Solid Helium‐3 (1987) (32)
Extensive chaos in Rayleigh-Bénard convection. (2006) (32)
Surface scattering analysis of phonon transport in the quantum limit using an elastic model (2002) (32)
Response of discrete nonlinear systems with many degrees of freedom. (2004) (31)
Improving the frequency precision of oscillators by synchronization. (2011) (31)
Nonlinear Dynamics of Nanomechanical Resonators (2010) (31)
Mean flow and spiral defect chaos in Rayleigh-Bénard convection. (2001) (29)
Power-law behavior of power spectra in low Prandtl number Rayleigh-Bénard convection. (2001) (29)
Broken Spin-Orbit Symmetry in Superfluid ^3He and B-Phase Dynamics (1978) (28)
X-Ray Diffraction Intensities of a Smectic-A Liquid Crystal (1980) (27)
Theoretical modelling of spiral chaos in Rayleigh-Benard convection (1996) (26)
Passive phase noise cancellation scheme. (2012) (24)
Quantum-classical transition of correlations of two coupled cavities (2012) (24)
BioNEMS: Nanomechanical Systems for Single-Molecule Biophysics (2007) (23)
Phase dynamics for the wavy vortex state of the Taylor instability (1983) (22)
Phase Transitions in Two-Dimensional Superfluid 3He (1979) (21)
Pattern formation with trapped ions. (2010) (21)
Complex Dynamical Networks Constructed with Fully Controllable Nonlinear Nanomechanical Oscillators. (2017) (20)
An introduction to pattern formation in nonequilibrium systems (1987) (20)
Synchronization of oscillators with long-range power law interactions. (2010) (19)
Turing instability in a boundary-fed system (1998) (19)
Forcing of convection due to time-dependent heating near threshold (1983) (19)
Vortices and the entrainment transition in the two-dimensional Kuramoto model. (2010) (18)
Chapter 2 Spin and Orbital Dynamics of Superfluid 3He (1978) (18)
Wavenumber selection and persistent dynamics in models of convection (1986) (17)
Boundary conditons on the envelope function of convective rolls close to onset (1982) (17)
Pattern selection in parametrically driven arrays of nonlinear resonators. (2008) (17)
Wave-number selection by soft boundaries near threshold (1984) (17)
One dimensional spatial structure near a Hopf bifurcation at finite wavenumber (1992) (17)
Effect of the centrifugal force on domain chaos in Rayleigh-Bénard convection. (2005) (15)
Gauge wheel of superfluid /sup 3/He (1979) (15)
Renormalization group approach to oscillator synchronization. (2008) (14)
Grain boundaries in models of convective patterns (1987) (14)
Quantum limit cycles and the Rayleigh and van der Pol oscillators (2020) (13)
Lyapunov exponents for small aspect ratio Rayleigh-Bénard convection. (2005) (13)
An eight-mode Lorenz model of travelling waves in binary fluid convection (1986) (13)
Collective Dynamics in Arrays of Coupled Nonlinear Resonators (2011) (12)
Coupled map models for chaos in extended systems. (1992) (12)
Universality in the one-dimensional chain of phase-coupled oscillators. (2009) (12)
Rayleigh-Bénard convection with a radial ramp in plate separation. (2001) (12)
Thermal boundary conductance between the U2D2 solid and B superfluid phases of3He (1993) (12)
Scaling laws for rotating Rayleigh-Bénard convection. (2005) (11)
Gauge Wheel of Superfluid ^3He (1979) (11)
Spatiotemporal dynamics of quantum jumps with Rydberg atoms (2012) (11)
Enhanced tracer transport by the spiral defect chaos state of a convecting fluid. (2004) (10)
Solid Helium Three (1976) (10)
Perturbation of magnetostatic modes observed by ferromagnetic resonance force microscopy (2006) (10)
Phase noise of oscillators with unsaturated amplifiers. (2013) (9)
Numerical bifurcation diagram for the two-dimensional boundary-fed chlorine-dioxide–iodine–malonic-acid system (1998) (9)
Controlling physical systems with symmetries (1997) (9)
Non-linear traveling wave states in finite geometries (1989) (8)
Traveling waves in rotating Rayleigh-Bénard convection: analysis of modes and mean flow. (2003) (8)
Rayleigh-Bénard convection in large-aspect-ratio domains. (2004) (8)
Nonequilibrium dynamics of the complex Ginzburg-Landau equation: analytical results. (2001) (7)
Explanation of flow dissipation in /sup 3/He-B (1982) (7)
Frequency precision of two-dimensional lattices of coupled oscillators with spiral patterns. (2013) (7)
Stability of the aligned state of ^3He-A in a superflow (1978) (7)
Coupled motion of microscale and nanoscale elastic objects in a viscous fluid. (2013) (7)
Eliminating 1/f noise in oscillators. (2014) (6)
Quasiperiodic, periodic, and slowing-down states of coupled heteroclinic cycles. (2012) (6)
Wave number selection in Rayleigh-Bénard convection: A numerical study (1982) (6)
Minimum-action paths for wave-number selection in nonequilibrium systems. (2016) (6)
Finite size scaling of domain chaos. (2000) (6)
Nonequilibrium dynamics in the complex Ginzburg-Landau equation. (2001) (5)
Synchronization on coupled dynamical networks (2006) (5)
Diagonalization of an exchange Hamiltonian for 163He spins (1984) (5)
Spatiotemporal chaos. (1994) (5)
Magnetism in Solid 3He: Today and Tomorrow (1987) (5)
Boundary conditions for normal-superfluid counterflow and internal Kapitza resistance in superfluids (1990) (4)
electron pickup by fast ions in solids (1977) (4)
Notes on the Turing Instability and Chemical Instabilities (2006) (4)
Calculation of Surface Energies in A and B Phases of 3He (1977) (3)
Flow dissipation in the 3He superfluids (1983) (3)
Ferromagnetism in the boundary layer of 3He on graphite (1987) (3)
Study of the orientational electric field effect in 3He-B (1979) (3)
Defect-Induced Propagation in Excitable Media (2003) (3)
Effect of spatial patterns on population size (2012) (2)
Effect of surface roughness on phonon thermal conductance in the quantum limit (2002) (2)
Simulating Complex Dynamics In Intermediate And Large-Aspect-Ratio Convection Systems (2000) (2)
Theoretical methods in pattern formation in Physics, Chemistry and Biology (1988) (2)
Building better oscillators using nonlinear dynamics and pattern formation (2015) (2)
Impulse given to a plate by a quantized vortex ring (1974) (2)
X-ray diffraction from a smectic A liquid crystal (1981) (2)
Comment on Dynamics of charge-density waves pinned by impurities (1984) (2)
Frequency Precision of Oscillators Based on High-Q Resonators (2015) (2)
Complete phase diagram for coherent vortex formation in a two-dimensional inviscid fluid in an annulus (1997) (2)
Pattern Formation and Dynamics in Nonequilibrium Systems: Oscillatory patterns (2009) (1)
Spin Injection in a Ballistic Two-Dimensional Electron Gas (1999) (1)
Lecture 8 Supplementary Notes: Amplitude Equations (2006) (1)
Amplitude-equation formalism for four-wave- mixing geometry with transmission gratings (1997) (1)
Defects and fronts (2009) (1)
Dynamics of coupled maps with a conservation law. (1997) (1)
Explanation of flow dissipation in 3He-B (1982) (1)
Relaxation of the dynamic magnetism of 3He-B. A simple study of the “wall-pinned mode” (1978) (1)
Ferromagnetic Resonance Force Microscopy (FMRFM): Magnetostatic modes in the presence of a localized tip field (2005) (1)
Model-based Design and Qualification of Complex Systems (2006) (1)
Pattern formation in finite size non-equilibrium systems and models of morphogenesis (1994) (1)
Failure of the free energy relation under a non-Markovian heat bath temperature change (2012) (1)
Chaotic Opto-Mechanical Quivering of Micron-Scaled On-chip Resonators Excited by Radiation Pressure (2007) (0)
Quantum-classical transition of synchronization of two coupled cavities (2013) (0)
Fixed point of a renormalization group approach for oscillator synchronization (2009) (0)
Nonlinear effects in NEMS — Improving frequency stability (2017) (0)
Transition to an oscillator for double phase-conjugate mirror (1996) (0)
Quantum synchronization of two coupled cavities with second harmonic generation (2012) (0)
Novel Oscillator Topologies (2012) (0)
Problems with 3He and 4He (1976) (0)
Perturbation of magnetostatic modes observed by FMRFM (2005) (0)
Nonequilibrium pattern formation and spatiotemporal chaos in fluid convection (2006) (0)
Novel Parametric Actuation Scheme in Piezoelectric NEMS (2007) (0)
Nonlinearities in NEMS (2017) (0)
Perturbation of Synchronized States via in situ Control of Individual Nodes and Edges (2018) (0)
Nonlinearities and Frequency Stability in NEMS (2017) (0)
Magnetism in solid ^3He: Today and Tomorrow : Quantum Liquids and Solids (1987) (0)
Pattern Formation in Nonequilibrium Systems (2000) (0)
Lecture 2 Supplementary Notes : Derivation of the Phase Equation (2005) (0)
Building better oscillators using nonlinear dynamics and pattern formation (2015) (0)
Linear instability: applications (2009) (0)
Pattern Formation and Dynamics in Nonequilibrium Systems: Multiple-scales perturbation theory (2009) (0)
Pattern Formation and Dynamics in Nonequilibrium Systems: One-dimensional amplitude equation (2009) (0)
Very low field susceptibility of the boundary layers of 3He on grafoil (1990) (0)
Linear Instability to Turing Patterns in a Boundary-fed System as a Function of Control Parameters (1998) (0)
A nonlinear VHF nanowire resonator (2004) (0)
QUANTUM SPIN-1/2 MODEL OF bcc **3He. (1984) (0)
A QND measurement of Fock states (2003) (0)
Phase Synchronization of two anharmonic NEMS oscillators (2013) (0)
Magnetic properties of solid 3He: What do we know and what do we learn? (1982) (0)
Quantum-classical transition of photon correlations of two coupled cavities (2013) (0)
Vortices in the 2D Kuramoto model (2010) (0)
Numerical Bifurcation Diagram for the Two-Dimensional Boundary-fed CDIMA System (1998) (0)
Opto-Mechanical Chaotic Behaviour of Micron-Scaled On-Chip Resonators (2006) (0)
Coupled Modes and Nonlinearity in Nanomechanical Systems (2002) (0)
Lecture 1 Supplementary Notes: Method of Multiple Scales (2005) (0)
Abstract Submitted for the MAR07 Meeting of The American Physical Society Novel Parametric Actuation Scheme in Piezoelectric NEMS RAS- (2012) (0)
Stability analysis of two-dimensional models of three-dimensional convection (1984) (0)
Elementary bifurcation theory (2009) (0)
Nanoelectromechanical Oscillator Arrays: A Laboratory for Synchronization on Lattices and Networks (2017) (0)
Nonlinear dynamics in NEMS (2011) (0)
Amplitude equations for two-dimensional patterns (2009) (0)
Evidence for magnetic ordering in the boundary layers of 3He on grafoil (2008) (0)
Patterns far from threshold (2009) (0)
Linear instability: basics (2009) (0)
Pattern formation of quantum jumps with Rydberg atoms (2012) (0)
Novel Magnetic Properties of Solid Helium-3 (1987) (0)
Opto-Excited Chaotic Vibration of a Micron-Scaled Cavity (2006) (0)
Supplementary Notes : Method of Multiple Scales (2006) (0)

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What Schools Are Affiliated With Michael C. Cross?

Michael C. Cross is affiliated with the following schools:

California Institute of Technology