I Theory.- 1 Introduction.- 2 Nonlinear Systems. Part I.- 3 Nonlinear Systems. Part II.- 4 Topological Analysis.- 5 Analytic Methods.- 6 The Numerical Approach.- 7 Limit Cycles.- 8 Forced Oscillators.- 9 Nonlinear Maps.- 10 Nonlinear PDE Phenomena.- 11 Numerical Simulation.- 12 Inverse Scattering Method.- II Experimental Activities.- to Nonlinear Experiments.- 1 Magnetic Force.- 2 Magnetic Tower.- 3 Spin Toy Pendulum.- 4 Driven Eardrum.- 5 Nonlinear Damping.- 6 Anharmonic Potential.- 7 Iron Core Inductor.- 8 Nonlinear LRC Circuit.- 9 Tunnel Diode Negative Resistance Curve.- 10 Tunnel Diode Self-Excited Oscillator.- 11 Forced Duffing Equation.- 12 Focal Point Instability.- 13 Compound Pendulum.- 14 Damped Simple Pendulum.- 15 Stable Limit Cycle.- 16 Van der Pol Limit Cycle.- 17 Relaxation Oscillations: Neon Bulb.- 18 Relaxation Oscillations: Drinking Bird.- 19 Relaxation Oscillations: Tunnel Diode.- 20 Hard Spring.- 21 Nonlinear Resonance Curve: Mechanical.- 22 Nonlinear Resonance Curve: Electrical.- 23 Nonlinear Resonance Curve: Magnetic.- 24 Subharmonic Response: Period Doubling.- 25 Diode: Period Doubling.- 26 Five-Well Magnetic Potential.- 27 Power Spectrum.- 28 Entrainment and Quasiperiodicity.- 29 Quasiperiodicity.- 30 Chua’s Butterfly.- 31 Route to Chaos.- 32 Driven Spin Toy.- 33 Mapping.
Springer Book Archives
"This book is a revision of an earlier work that looked at
nonlinear physics using MAPLE® software. As with that work, Enns
and McGuire incorporate theory, experiment, and numerical
applications in a thorough introduction to a wide range of
nonlinear topics. … The book assumes no familiarity with nonlinear
physics or MATHEMATICA® . . . The authors do an extraordinary job
of integrating application and theory. They provide applications
from a variety of disciplines throughout the sections that
introduce the theory and that look at methods of analysis and
consider the various approaches to addressing nonlinear problems.
It is not an exaggeration to say that this book considers all areas
of interest in nonlinear analysis with solid introductions. (This
reviewer, having taught the basics of nonlinear physics over the
last 15 years, wishes he had had this book as a tutor.) Added to
this are 33 experimental activities using MATHEMATICA® that
demonstrate concepts and applied examples." —ChoiceReviewer
comments on the Maple edition of NONLINEAR PHYSICS: "An...excellent
book...the authors have been able to cover an extraordinary range
of topics and hopefully excite a wide audience to investigate
nonlinear phenomena...accessible to advanced undergraduates and yet
challenging enough for graduate students and working scientists....
The reader is guided through it all with sound advice and
humor.... I hope that many will adopt the text."
-American Journal of Physics "Its organization of subject matter,
clarity of writing, and smooth integration of analytic and
computational techniques put it among the very best...Richard Enns
and George McGuire have written an excellent text for introductory
nonlinear physics."
-Computers in Physics"...correctly balances a good treatment of
nonlinear, but also nonchaotic, behavior of systems with some of
the exciting findings about chaotic dynamics...one of the
book'sstrength is the diverse selection of examples from
mechanical, chemical, electronic, fluid and many other systems
.... Another strength of the book is the diversity of
approaches that the student is encouraged to take...the authors
have chosen well, and the trio of text,...software, and lab manual
gives the newcomer to nonlinear physics quite an effective set of
tools.... Basic ideas are explained clearly and illustrated with
many examples."
-Physics Today"... the care that the authors have taken to ensure
that their text is as comprehensive, versatile, interactive, and
student-friendly as possible place this book far above the
average."
-Scientific Computing World
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