Results 21 to 30 of about 436,415 (124)

Synchronization of fractional order chaotic systems [PDF]

Phys. Rev. E, Vol. 68, 067203, 2003, 2004
The chaotic dynamics of fractional order systems begin to attract much attentions in recent years. In this brief report, we study the master-slave synchronization of fractional order chaotic systems. It is shown that fractional order chaotic systems can also be synchronized.
arxiv   +1 more source

Chaotic dynamics, fluctuations, nonequilibrium ensembles [PDF]

Chaos, 8, 384--392, 1998, 1997
A review of some recent results and ideas about the expected behaviour of large chaotic systems and fluids.
arxiv   +1 more source

Chaotic discrete map of pulse oscillator dynamics with threshold nonlinear rate coding

Nonlinear dynamics
The study presents 1D discrete map (DM) to describe the dynamics of the oscillator with chaotic pulse position modulation (PPM). The model circuit has pulse voltage-controlled oscillator (PVCO) and feedback (FB) loop with a threshold of pulse rate coding,
P. Boriskov
semanticscholar   +1 more source

Isospectrality in Chaotic Billiards [PDF]

, 2003
We consider a modification of isospectral cavities whereby the classical dynamics changes from pseudointegrable to chaotic. We construct an example where we can prove that isospectrality is retained. We then demonstrate this explicitly in microwave resonators.
arxiv   +1 more source

Time scale synchronization of chaotic oscillators [PDF]

Physica D 206 (3--4), 252--264 (2005), 2006
This paper presents the result of the investigation of chaotic oscillator synchronization. A new approach for detecting of synchronized behaviour of chaotic oscillators has been proposed. This approach is based on the analysis of different time scales in the time series generated by the coupled chaotic oscillators.
arxiv   +1 more source

On chaotic dynamics in transcription factors and the associated effects in differential gene regulation

Nature Communications, 2019
The control of proteins by a transcription factor with periodically varying concentration exhibits intriguing dynamical behaviour. Even though it is accepted that transcription factors vary their dynamics in response to different situations, insight into
M. Heltberg, Sandeep Krishna, M. Jensen
semanticscholar   +1 more source

Sufficient Conditions for Fast Switching Synchronization in Time Varying Network Topologies

, 2005
In previous work, empirical evidence indicated that a time-varying network could propagate sufficient information to allow synchronization of the sometimes coupled oscillators, despite an instantaneously disconnected topology.
Afra movich V., D. Gray Roberson, Daniel J. Stilwell, Erik M. Bollt, Glass Leon, Guevara M. R., Jost J., Netoff T. I., Sansone G.   +8 more
core   +2 more sources

New approach to quasi synchronization of coupled heterogeneous complex networks [PDF]

arXiv, 2021
This short paper addresses quasi synchronization of heterogeneous complex dynamical networks. The similarity and difference between synchronization of homogeneous systems and quasi synchronization of heterogeneous complex dynamical networks will be revealed.
arxiv  

Time-oscillating Lyapunov modes and auto-correlation functions for quasi-one-dimensional systems

, 2004
The time-dependent structure of the Lyapunov vectors corresponding to the steps of Lyapunov spectra and their basis set representation are discussed for a quasi-one-dimensional many-hard-disk systems. Time-oscillating behavior is observed in two types of
Gary P. Morriss, H. A. Posch, J. P. Hansen, J. R. Dorfman, P. Gaspard, R. Kubo, Tooru Taniguchi   +6 more
core   +1 more source

Master equation approach to the conjugate pairing rule of Lyapunov spectra for many-particle thermostatted systems

, 2002
The master equation approach to Lyapunov spectra for many-particle systems is applied to non-equilibrium thermostatted systems to discuss the conjugate pairing rule. We consider iso-kinetic thermostatted systems with a shear flow sustained by an external
C. Wagner, C.M. Newman, C.P. Dettmann, C.P. Dettmann, C.P. Dettmann, C.P. Dettmann, Ch. Dellago, D. Gupalo, D. Panja, D. Panja, D. Ruelle, D.J. Evans, D.J. Evans, D.J. Isbister, D.J. Searles, F. Bonetto, G. Benettin, G. Paladin, G.P. Morriss, G.P. Morriss, Gary P. Morriss, H. van Beijeren, H. van Beijeren, H. van Beijeren, H.A. Posch, I. Shimada, J.-P. Eckmann, J.-P. Eckmann, Lj. Milanović, M. Dolowschiák, M.P. Wojtkowski, P. Gaspard, R. Livi, R. van Zon, R. van Zon, S. Sarman, S. Sastry, T. Taniguchi, T. Taniguchi, Tooru Taniguchi, U. Dressler, W.G. Hoover, W.G. Hoover, Ya.G. Sinai   +43 more
core   +1 more source