Results 31 to 40 of about 19,807 (147)

Holes and chaotic pulses of traveling waves coupled to a long-wave mode

, 1997
Localized traveling-wave pulses and holes, i.e. localized regions of vanishing wave amplitude, are investigated in a real Ginzburg-Landau equation coupled to a long-wave mode. In certain parameter regimes the pulses exhibit a Hopf bifurcation which leads
Herrero, Henar, Riecke, Hermann
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Bifurcation Boundary Conditions for Switching DC-DC Converters Under Constant On-Time Control

, 2012
Sampled-data analysis and harmonic balance analysis are applied to analyze switching DC-DC converters under constant on-time control. Design-oriented boundary conditions for the period-doubling bifurcation and the saddle-node bifurcation are derived. The
A Aroudi El, A Eisinberg, C-C Fang, C-C Fang, C-C Fang, C-C Fang, C-C Fang, C-C Fang, C-C Fang, C-C Fang, C-C Fang, C-C Fang, C-C Fang, C-C Fang, Chung-Chieh Fang, CK Tse, CP Basso, D Cafagna, DC Hamill, E Fossas, F Angulo, FCY Lee, FD Tan, GC Verghese, J Li, J Li, J Sun, J Wang, JW Woude van der, M-F Danca, R Redl, RB Ridley, RW Erickson, SK Mazumder, T Qian, W Tang, Y-C Lin, YA Kuznetsov   +37 more
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Nonlinear lattice model of viscoelastic Mode III fracture

, 2000
We study the effect of general nonlinear force laws in viscoelastic lattice models of fracture, focusing on the existence and stability of steady-state Mode III cracks.
A. Paskin, D. A. Kessler, D. A. Kessler, D. A. Kessler, D. A. Kessler, D. Holland, David A. Kessler, E. Brener, E. Sharon, E. Sharon, Herbert Levine, J. A. Hauch, J. Fineberg, J. Fineberg, J. Fineberg, J. S. Langer, L. I. Slepyan, M. Marder, M. Marder, O. Pla, P. Gumbsch, S. J. Zhou, Sh. A. Kulamekhtova   +22 more
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Multiple Transitions to Chaos in a Damped Parametrically Forced Pendulum

, 1995
We study bifurcations associated with stability of the lowest stationary point (SP) of a damped parametrically forced pendulum by varying $\omega_0$ (the natural frequency of the pendulum) and $A$ (the amplitude of the external driving force).
A. Arneodo, A. Lahiri, A.J. Lichtenberg, B.P. Koch, B.P. Koch, J. Gukenheimer, J. Mathews, J. Testa, J.B. McLaughlin, Kijin Lee, L.D. Landau, M. Hénon, M. Nauenberg, M.J. Feigenbaum, M.J. Feigenbaum, P.M. Morse, R.W. Leven, R.W. Leven, S. Lefschetz, S. Lefschetz, S. Y. Kim, S. Y. Kim, Sang-Yoon Kim, T. Kai, V.I. Arnold, V.I. Arnold, Y. Pomeau   +26 more
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Non-linear dynamics of double-cavity optical bistability of three-level ladder system

, 2010
We present non-linear dynamical features of two-photon double-cavity optical bistability exhibited by a three level ladder system in the mean field limit. The system exhibits a hump like feature in the lower branch of the bistable response, wherein a new
Babu, H. Aswath, Wanare, Harshawardhan
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A behavioral cobweb model with heterogeneous speculators [PDF]

This paper aims at integrating heterogeneous boundedly rational speculators into the classical cobweb framework in which the producers have naive expectations.
Cristian Wieland, Frank Westerhoff
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Hierarchy of Chaotic Maps with an Invariant Measure

, 2000
We give hierarchy of one-parameter family F(a,x) of maps of the interval [0,1] with an invariant measure. Using the measure, we calculate Kolmogorov-Sinai entropy, or equivalently Lyapunov characteristic exponent, of these maps analytically, where the ...
Blank, Froyland, Gilbert, Jakobson, M.A. Jafarizadeh, S. Behnia, Tasaki, Tasaki, Ulam, Umeno, Umeno   +10 more
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Twisted and Nontwisted Bifurcations Induced by Diffusion

, 1996
We discuss a diffusively perturbed predator-prey system. Freedman and Wolkowicz showed that the corresponding ODE can have a periodic solution that bifurcates from a homoclinic loop.
A. Lunardi, A. M. Turing, B. Deng, E. Conway, E. D. Conway, E. Yanagida, G. Prato Da, G. S. K. Wolkowicz, H. I. Freedman, H. Kokubu, J. Carr, J. D. Murray, J. K. Hale, L. P. Silnikov, P. C. Fife, P. Hartman, S.-N. Chow, S.-N. Chow, S.-N. Chow, S.-N. Chow, X. B. Lin, X. B. Lin, X. B. Lin, X.-B. Lin, X.-B. Lin, Xiao-Biao Lin   +25 more
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Period-doubling bifurcation in spatiotemporal mode-locked lasers

, 2020
Period-doubling bifurcation is a universal dynamic of nonlinear systems, which has been extensively investigated in laser systems with a single transverse mode. This study presents an experimental observation and theoretical investigation of the period-doubling bifurcation in spatiotemporal mode-locked (STML) multimode fiber lasers.
Xiao, Xiaosheng, Ding, Yihang, Fan, Shuzheng, Yang, Changxi, Zhang, Xiaoguang   +4 more
openaire   +2 more sources

Homoclinic tangencies near cascades of period doubling bifurcations

Annales de l'Institut Henri Poincaré C, Analyse non linéaire, 1998
We consider perturbations of the Feigenbaum map in n dimensions. In the analytic topology we prove that the maps that are accumulated by period doubling bifurcations are approximable with homoclinic tangencies.
Catsigeras, Eleonora, Enrich, Heber
openaire   +3 more sources