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Abstract. By using the bifurcation theory and methods of dynamical systems to con- struct the exact travelling wave solutions for nonlinear wave equations, ...

http://www.springerlink.com/index/F4877713561N47JX.pdf

In this paper, we study the problem of bifurcation suppression of nonlinear systems by dynamic output feedback. Bifurcation suppression by dynamic output ...

http://www.springerlink.com/index/T8364618N1W58J87.pdf

by S Muratori - Cited by 7

http://home.dei.polimi.it/rinaldi/ENS/fr_3.b.pdf

[7] J. Guckenheimer and P. Holmes, Nonlinear Oscillations, Dynamical Systems and Bifurcations of Vector Fields, Springer. Verlag, 1983. ...

http://iospress.metapress.com/index/RD5E9MGEQC7084M0.pdf

by C Myersdeveloped originally to support IGERT program in nonlinear systems, around .... doubling bifurcations in a continuous dynamical system ...

http://pages.physics.cornell.edu/~myers/teaching/ComputationalMethods/LectureNotes/P7682_CIS6229.pdf

Phase Plane and Bifurcation Analysis of Reduced Models. ► Application of Smale Horseshoe to Bursting. Joshua Goldwyn. Dynamical Systems in Neuroscience ...

http://www.amath.washington.edu/~jgoldwyn/content/amath575present.pdf

time systems. • Course notes: Stability of nonlinear systems. • Copied from the book of Khalil: ... discrete dynamical systems. Chapter 8: Bifurcations ...

http://lanoswww.epfl.ch/studinfo/courses/cours_dynsys/Course_documentation/Course Content and Documents.pdf

by WEI KANG - Cited by 89

http://webpages.charter.net/weikang/index_files/reprint_SIAM98a.pdf

by B HAMZI - Cited by 16

http://webpages.charter.net/weikang/index_files/reprint_SICON04.pdf

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BIFURCATION OF SWITCHED NONLINEAR DYNAMICAL SYSTEMS. 879. Note that the solution (3) is continuous, but not differentiable for all states. ...

http://ieeexplore.ieee.org/iel5/82/16843/00775383.pdf?arnumber=775383

nearby. This is the so-called saddle-node bifurcation. Perturbation with Slow Unmodeled Dynamics. In this section, we consider a nonlinear dynamical system ...

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ical systems and bifurcation theories to the study of nonlinear oscillations. Chapter 1 provides a review of basic results in the theory of dynamical ...

http://www.springer.com/productFlyer_978-0-387-90819-9.pdf?SGWID=0-0-1297-1331974-0

bifurcation in planar nonsmooth dynamical systems, but we know of no general ...... and P. Holmes, Nonlinear Oscillations, Dynamical Systems, and Bifur- ...

http://www.maths.bath.ac.uk/~cjb/Papers09/pwsreview.pdf

Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields, J. Guckenheimer and P. Holmes, Springer-Verlag, 1983. ...

http://www.me.rochester.edu/courses/ME406/desc.pdf

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µ=0: bifurcation point. (pitchfork bifurcation). Nonlinear Systems Analysis. III-1. ... Dynamic response. Pitchfork bifurcation diagram. Phase plane ...

http://www.cheric.org/ippage/d/ipdata/2004/01/file/d200401-701.pdf

Guckenheimer J and Holmes PJ (1983) Nonlinear Oscillations, Dynamical Systems and Bifurcations of Vector Fields. New York, NY: Springer-Verlag. Hale JK. ...

https://engineering.purdue.edu/ME580/Nonlinear_systems_analysis.pdf

bifurcations, examples of global bifurcations, effect of dissipative forces. ... Verhulst, F., Nonlinear differential equations and dynamical systems, ...

https://engineering.purdue.edu/ME580/ME580SYLLABUS-09.pdf

Guckenheimer, J., Holmes, P. J., Nonlinear Oscillations, Dynamical Systems and Bifurcations of. Vector Fields, Springer-Verlag, N.Y., 1983. ...

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Bifurcations – Fold, Pitch Fork, Hopf, Saddle Connection ... H. Nijmeijer and A. van der Schaft, Nonlinear Dynamical Control Systems, Springer ...

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characteristics of the most typical bifurcations arising in nonlinear dynamical systems used in theoretical biology. Although this part is mainly ...

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Keywords: nonlinear dynamic system, bifurcation, chaos, dark-lines. PACC: 0547. 1. Introduction. For nonlinear systems, bifurcation plots can be ...

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Nonlinear dynamical systems can possess equilibria and periodic solutions as ... The theory of bifurcations in smooth dynamical systems is well understood, ...

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Analyzing dynamical systems for bifurcations begins by finding the .... illustrates that even the simplest nonlinear discrete dynamical systems can have ...

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lar, period-doubling bifurcation is a typical route to chaos in many nonlinear discrete-time dynamical systems. Bifurcation control is useful in many engi- ...

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File Format: PDF/Adobe Acrobatby E Mirof Dynamical Systems: Order Amidst Chaos, Lecture Notes in Math. 1645. .... of a a-priori stable Hamiltonian systems. Nonlinear Science 7(2), 177–209. ...

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points, their stability and bifurcations in dynamical systems, real world systems like ... Nonlinear differential equations & Dynamical systems- Verhulst ...

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ters and their bifurcations. Igor Schreiber, Prague Institute of Chemical Technology. Parameter sensitivity of dynamical systems described by differential ...

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Guckenheimer, J. and Holmes, P. (1983) Nonlinear Oscillations, Dynamical Systems, and. Bifurcations of Vector Fields (Springer, New York). ...

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