artless
发表于 2025-3-28 14:46:36
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的’
发表于 2025-3-28 20:48:49
https://doi.org/10.1007/978-3-662-41370-8sitions represent many natural phenomena or engineering processes. We shall introduce few particular bifurcations, viz., saddle-node (fold), period-doubling (flip), period-bubbling, pitchfork, transcritical bifurcations, and Neimark-Sacker codimension-2 bifurcation in this chapter.
archetype
发表于 2025-3-28 23:01:51
Stability Theory,quations rigorous mathematical definitions are often too restrictive in analyzing the stability of solutions. We begin with the stability analysis of linear systems. The normal form analysis for stable, unstable and center manifolds, and the center manifold reduction are discussed.
ineptitude
发表于 2025-3-29 03:05:55
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现存
发表于 2025-3-29 10:36:51
Symmetry Analysis,ce of symmetry, particularly in analyzing nonlinear systems we devote this chapter on basic idea of group of transformations, Lie group of transformations, Lie group of transformations, some theorems on Lie symmetry, its invariance, Invariance principle and algorithm, and symmetry analysis of some physical systems.
远足
发表于 2025-3-29 12:13:58
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EXALT
发表于 2025-3-29 17:55:35
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绿州
发表于 2025-3-29 23:46:58
Continuous Dynamical Systems,eir trajectories cannot be represented by usual geometry. In this chapter we discuss some important definitions, concept of flows, their properties, examples, and analysis of one-dimensional flows for an easy way to understand the nonlinear dynamical systems.
PLIC
发表于 2025-3-29 23:54:44
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Measured
发表于 2025-3-30 07:55:39
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