Results 281 to 290 of about 75,647 (313)
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Quantifying the robustness of a chaotic system
Chaos: An Interdisciplinary Journal of Nonlinear Science, 2022As a way to quantify the robustness of a chaotic system, a scheme is proposed to determine the extent to which the parameters of the system can be altered before the probability of destroying the chaos exceeds 50%. The calculation uses a Monte-Carlo method and is applied to several common dissipative chaotic maps and flows with varying numbers of ...
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GEOMETRY OF TARGETING OF CHAOTIC SYSTEMS
International Journal of Bifurcation and Chaos, 1995In this paper, we analyze the geometry of directing of orbits of chaotic dynamical systems. The geometric approach enables us to interpret the obtained results so as to complement some of the existing ideas about minimum-time targeting. The analysis is illustrated by an example.
Paskota, M., Mees, A. I., Teo, K. L.
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Transitions to Bubbling of Chaotic Systems
Physical Review Letters, 1996Certain dynamical systems exhibit a phenomenon called bubbling, whereby small perturbations induce intermittent bursting. In this Letter we show that, as a parameter is varied through a critical value, the transition to bubbling can be ``hard'' (the bursts appear abruptly with large amplitude) or ``soft'' (the maximum burst amplitude increases ...
, Venkataramani +4 more
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Calculation of the entropy in chaotic systems
Physical Review A, 1985A systematic approximation which consists of neglecting long-time memory effects for the entropy in chaotic systems is studied and its fast convergence is demonstrated. We determine the Lyapunov exponent for some one-dimensional maps with a high precision. For example the Lyapunov exponent of the logistic map at the first band merging point is obtained
, Györgyi, , Szépfalusy
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Susceptibility of Chaotic Systems to Perturbations
Physical Review Letters, 1996The susceptibility of chaotic Hamiltonian systems with 2 degrees of freedom to a perturbation of harmonical time dependence is studied. The dispersion relation for the susceptibility that includes the Lyapunov exponent is established. The equations that connect the parameters of the susceptibility with those of the power spectrum of the coordinate and ...
, Elyutin, , Shan
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Bifurcation control of a chaotic system
Automatica, 1995The viability of controlling chaos by controlling associated bifurcations is demonstrated in the context of a thermal convection loop model. Washout filter-aided feedback controls are employed to delay and to extinguish chaos in the model, and to target preferred equilibrium points. An important feature of the control laws is that they do not result in
Hua O. Wang, Eyad H. Abed
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Chaotic dynamical systems: an introduction
Economic Theory, 1994In his Memoirs, Stigler (1988, p. 78) observed that economic "theorists like new and strange constructs that create a new world or change the way of looking at the current one". I f this is a correct description of the preferences of economic theorists, one ought to expect continued interest in the fascinating development of the literature on dynamical
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Classical susceptibilities of chaotic systems
Physics Letters A, 1997zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Synchronization of chaotic systems
1999 European Control Conference (ECC), 1999Ulrich Parlitz, Lutz Junge
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