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Titlebook: Discontinuity and Complexity in Nonlinear Physical Systems; J. A. Tenreiro Machado,Dumitru Baleanu,Albert C J Book 2014 Springer Internat

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楼主: Conjecture
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Nonlinear Self-Adjointness for some Generalized KdV Equations2, 2011) are applied to some classes of third order equations. Then, from Ibragimov’s theorem on conservation laws, conservation laws for two generalized equations of KdV type and a potential Burgers equation are established.
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Weak Self-Adjointness and Conservation Laws for a Family of Benjamin-Bona-Mahony-Burgers Equationsak self-adjoint equations. In this paper we consider a family of Benjamin-Bona-Mahony-Burgers equations and we determine the subclass of equations which are self-adjoint, quasi-self-adjoint and weak self-adjoint. By using a general theorem on conservation laws proved by Ibragimov we obtain conservation laws for these equations.
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Dynamical Response of a Van der Pol System with an External Harmonic Excitation and Fractional Derived broad spectrum of nonlinear behaviour connected with sensitivity to the initial conditions. To quantify dynamical response of the system we propose the statistical 0–1 test. The results have been confirmed by bifurcation diagrams, phase portraits and Poincare sections.
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978-3-319-37534-2Springer International Publishing Switzerland 2014
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J. A. Tenreiro Machado,Dumitru Baleanu,Albert C J Provides Lie group analysis with nonlinear self-adjointess and conservation laws.Presents computational methods and control in fractional calculus.Discusses discontinuous dynamics and chaos in drillin
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2195-9994 lculus.Discusses discontinuous dynamics and chaos in drillinDiscontinuity in Nonlinear Physical Systems explores recent developments in experimental research in this broad field, organized in four distinct sections. Part I introduces the reader to the fractional dynamics and Lie group analysis for n
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