close
1.

図書

図書
Igor Grabec, Wolfgang Sachse
出版情報: Berlin ; New York : Springer-Verlag, c1997  xx, 458 p. ; 24 cm
シリーズ名: Springer series in synergetics
所蔵情報: loading…
2.

図書

図書
Hermann Haken
出版情報: Berlin ; Tokyo : Springer, 1983  xiv, 371 p. ; 25 cm
シリーズ名: Springer series in synergetics ; v. 1
所蔵情報: loading…
3.

図書

図書
Y. Kuramoto
出版情報: Mineola, N.Y. : Dover Publications, 2003  vi, 156 p. ; 24 cm
所蔵情報: loading…
目次情報: 続きを見る
Introduction / 1.:
Methods / Part I:
Reductive Perturbation Method / 2.:
Oscillators Versus Fields of Oscillators / 2.1:
The Stuart-Landau Equation / 2.2:
Onset of Oscillations in Distributed Systems / 2.3:
The Ginzburg-Landau Equation / 2.4:
Method of Phase Description / 3.:
Systems of Weakly Coupled Oscillators / 3.1:
One-Oscillator Problem / 3.2:
Nonlinear Phase Diffusion Equation / 3.3:
Representation by the Floquet Eigenvectors / 3.4:
Case of the Ginzburg-Landau Equation / 3.5:
Method of Phase Description II / 4.:
Systematic Perturbation Expansion / 4.1:
Generalization of the Nonlinear Phase Diffusion Equation / 4.2:
Dynamics of Slowly Varying Wavefronts / 4.3:
Dynamics of Slowly Phase-Modulated Periodic Waves / 4.4:
Applications / Part II:
Mutual Entrainment / 5.:
Synchronization as a Mode of Self-Organization / 5.1:
Phase Description of Entrainment / 5.2:
One Oscillator Subject to Periodic Force / 5.2.1:
A Pair of Oscillators with Different Frequencies / 5.2.2:
Many Oscillators with Frequency Distribution / 5.2.3:
Calculation of [Gamma] for a Simple Model / 5.3:
Soluble Many-Oscillator Model Showing Synchronization-Desynchronization Transitions / 5.4:
Oscillators Subject to Fluctuating Forces / 5.5:
One Oscillator Subject to Stochastic Forces / 5.5.1:
A Pair of Oscillators Subject to Stochastic Forces / 5.5.2:
Many Oscillators Which are Statistically Identical / 5.5.3:
Statistical Model Showing Synchronization-Desynchronization Transitions / 5.6:
Bifurcation of Collective Oscillations / 5.7:
Chemical Waves / 6.:
Synchronization in Distributed Systems / 6.1:
Some Properties of the Nonlinear Phase Diffusion Equation / 6.2:
Development of a Single Target Pattern / 6.3:
Development of Multiple Target Patterns / 6.4:
Phase Singularity and Breakdown of the Phase Description / 6.5:
Rotating Wave Solution of the Ginzburg-Landau Equation / 6.6:
Chemical Turbulence / 7.:
Universal Diffusion-Induced Turbulence / 7.1:
Phase Turbulence Equation / 7.2:
Wavefront Instability / 7.3:
Phase Turbulence / 7.4:
Amplitude Turbulence / 7.5:
Turbulence Caused by Phase Singularities / 7.6:
Appendix
Plane Wave Solutions of the Ginzburg-Landau Equation / A.:
The Hopf Bifurcation for the Brusselator / B.:
References
Subject Index
Introduction / 1.:
Methods / Part I:
Reductive Perturbation Method / 2.:
4.

図書

図書
Hermann Haken
出版情報: Berlin ; New York : Springer-Verlag, 1978  xii, 355 p. ; 25 cm
シリーズ名: Springer series in synergetics ; v. 1
所蔵情報: loading…
5.

図書

図書
Hermann Haken
出版情報: Berlin ; Tokyo : Springer-Verlag, 1983  xv, 356 p. ; 25 cm
シリーズ名: Springer series in synergetics ; v. 20
所蔵情報: loading…
文献の複写および貸借の依頼を行う
 文献複写・貸借依頼