Results 251 to 260 of about 30,046 (283)
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CHAOTIC ATTRACTOR IN THE KURAMOTO MODEL
International Journal of Bifurcation and Chaos, 2005The Kuramoto model of globally coupled phase oscillators is an essentially nonlinear dynamical system with a rich dynamics including synchronization and chaos. We study the Kuramoto model from the standpoint of bifurcation and chaos theory of low-dimensional dynamical systems. We find a chaotic attractor in the four-dimensional Kuramoto model and study
Maistrenko, Yuri L. +2 more
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Stochastic and Chaotic Attractors
1992Among the basic important properties of a dynamical system are its steady-state motions, to which after a certain time any other of its motions leads. A steady-state motion is limiting, occurring asymptotically in the system isolated from all uncontrollable or random actions, and can be regarded as ideal deterministic.
Yu. I. Neimark, P. S. Landa
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Synchronization of Chaotic Systems with Coexisting Attractors
Physical Review Letters, 2006Synchronization of coupled oscillators exhibiting the coexistence of chaotic attractors is investigated, both numerically and experimentally. The route from the asynchronous motion to a completely synchronized state is characterized by the sequence of type-I and on-off intermittencies, intermittent phase synchronization, anticipated synchronization ...
Pisarchik AN +4 more
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Strange and chaotic attractors
2005Abstract In the early 1970s, mathematicians David Ruelle and Floris Takens introduced the concept of the strange attractor to describe the phenomenon of turbulence (Ruelle and Takens, 1971; see also Ruelle, 1991). A strange attractor is a subset of points in the phase space that is fundamentally different to that of the objects belonging
Cristoforo Sergio Bertuglia, Franco Vaio
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CONSTRUCTING HOMOCLINIC ORBITS AND CHAOTIC ATTRACTORS
International Journal of Bifurcation and Chaos, 1994Homoclinic orbits and chaotic attractors are constructed progressively by singular perturbations. More specifically, lower dimensional slow subsystems and fast subsystems are constructed separately as building blocks. The former are then modulated onto the latter via homotopy.
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Japan Journal of Applied Mathematics, 1988
The paper represents Part II of a 2-part paper which provides the normal forms of piecewise linear vector fields (abbr. PL-systems) under affine conjugacy and the prototype chaotic attractors in the PL-systems. In Part I [Japan J. Appl. Math. 5, No.2, 257-304 (1988; Zbl 0672.58028)], the author has derived the general forms of continuous PL-systems ...
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The paper represents Part II of a 2-part paper which provides the normal forms of piecewise linear vector fields (abbr. PL-systems) under affine conjugacy and the prototype chaotic attractors in the PL-systems. In Part I [Japan J. Appl. Math. 5, No.2, 257-304 (1988; Zbl 0672.58028)], the author has derived the general forms of continuous PL-systems ...
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UNUSUAL CHAOTIC ATTRACTORS IN NONSMOOTH DYNAMIC SYSTEMS
International Journal of Bifurcation and Chaos, 2005The present paper describes an unusual example of chaotic motion occurring in a nonsmooth mechanical system affected by dry friction. The mechanical system generates one-dimensional maps the orbits of which seem to exhibit sensitive dependence on initial conditions only in an extremely small set of their field of definition.
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Chaotic Attractors Generated by a Memristor-Based Chaotic System and Julia Fractal
Chaos, Solitons and Fractals, 2021Lidan Wang, Shu-Kai Duan
exaly
A Memristive Synapse Control Method to Generate Diversified Multistructure Chaotic Attractors
IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems, 2023Hairong Lin, Chunhua Wang, Xin Zhang
exaly