Titlebook: Elementary Stability and Bifurcation Theory; Gérard Iooss,Daniel D. Joseph Textbook 19801st edition Springer Science+Business Media New Yo

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Bifurcation of Forced ,-Periodic Solutions into Asymptotically Quasi-Periodic Solutions,In Chapter IX we determined the conditions under which subharmonic solutions, nT-periodic solutions with integers . > 1, could bifurcate from forced T-periodic solutions.

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https://doi.org/10.1007/978-3-476-03058-0um solutions of evolution problems governed by nonlinear differential equations. We have written this book for the broadest audience of potentially interested learners: engineers, biologists, chemists, physicists, mathematicians, economists, and others whose work involves understanding equilibrium solutions of nonlinear differential equations.

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Koyel Bhattacharya,Sanjib Bhattacharyaroblems in the form.where U = 0 is . a solution because.In this type of problem the outside world communicates with the dynamical system governed by (XI.l)! through the imposed data (XI.1).. The dynamical system sees the outside world as precisely T-periodic and it must adjust its own evolution to fit this fact.

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