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ѕоиск книг, содержащих: Bifurcation



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Sornette D. Ч Critical phenomena in natural sciences
Becker K.H., Dörfler M. Ч Dynamical Systems and Fractals : Computer Graphics Experiments with Pascal39, 46, 54
Arrowsmith D.K., Place C.M. Ч Dynamical systems. Differential equations, maps and chaotic behaviour212
Acheson David Ч From calculus to chaos138
Saad Y. Ч Numerical Methods for Large Eigenvalue Problems315
Crisfield M.A. Ч Non-Linear Finite Element Analysis of Solids and Structures. Vol. 2: Advanced Topics355
Stein E. (ed.), Ramm E. Ч Error-controlled adaptive finite elements in solid mechanics2, 110, 160, 236, 314
Korsch H.J., Jodl H.-J. Ч Chaos: A Program Collection for the PC22, 24, 42, 62, 80, 152, 299
Zienkiewicz O.C., Taylor L.R. Ч The finite element method (vol. 2, Solid mechanics)22
Benson D. Ч Mathematics and music258
Goldstein H., Poole C., Safko J. Ч Classical mechanics454, 484, 505, 513, 514
Kundu P.K., Cohen I.R. Ч Fluid mechanics487
Nayfeh A.H., Mook D.T. Ч Nonlinear Oscillations65, 70, 75, 158, 494
Murdock J. Ч Perturbations: Theory and Methods15, 18, 94, 129
Drazin P. Ч Introduction to Hydrodynamic Stability7, 10, 11
Lee G.H.W., Chu V.H. Ч Turbulent Jets and Plumes : A Lagrangian Approach272
Taberling P. (ed.), Cardoso O. (ed.) Ч Turbulence: a tentative dictionary68Ч70
Chorin A., Marsden J. Ч A Mathematical Introduction to Fluid Mechanics99, 100
Peters E.E. Ч Chaos and Order in the Capital Markets123, 196, 231
Brin M., Stuck G. Ч Introdution to dynamical system183
Debnath L. Ч Nonlinear water waves464, 466, 467
Debnath L., Mikusinski P. Ч Introduction to Hilbert Spaces with Applications465
Gupta M.M., Jin L., Homma N. Ч Static and dynamic neural networks334
Hale J.K., Magalhaes L.T., Oliva W. Ч Dynamics in Infinite Dimensions65
Hall G.R., Lee Ч Continuous dynamical systems75
Carr J. Ч Applications of Centre Manifold Theory11Ч12, 40Ч41, 43, 47, 50, 52Ч53, 55Ч59, 82, 84Ч85, 94, 127, 131, 134Ч135 (see also УHopf bifurcationФ)
Chipot M., Quittner P. Ч Handbook of Differential Equations: Stationary Partial Differential Equations, Vol. 3446
Strauss W.A. Ч Partial Differential Equations: An Introduction379Ч383
Ott E. Ч Chaos in dynamical systems44
Smith P. Ч Explaining chaos62
Gleick J. Ч Chaos. Making a new science71, 73, 74Ч75,76, 78, 128, 173, 204Ч205,211, 215,223, 265,305
Itoh K., Fukayama A. Ч Transport and Structural Formation in Plasmas15
Weickert J. Ч Visualization and Processing of Tensor Fields: Proceedings of the Dagstuhl Workshop231, 237, 238, 253
Devaney R.L. Ч An introduction to chaotic dynamical systems28, 80
Finch S.R. Ч Mathematical constants66, 311
Holden A.V. Ч Chaos41
Jones R.M. Ч Mechanics of composite materials302
Delves L.M. (ed.), Walsh J. (ed.) Ч Numerical Solution of Integral Equations218, 219
Fiedler B. Ч Global Bifurcation of Periodic Solutions with Symmetrysee also УB-pointФ, УFlipФ, УFlip-flopФ, УFlopФ, УFreezingФ, УHopf, E.Ф, УJug-handleФ, УLjapunov Ч SchmidtФ, УPeriodФ, УPeriodicФ, УSaddle-nodeФ, УTorusФ, УStationaryФ, УSymmetry breakingФ, УTypeФ
Cantwell B.J., Crighton D.G. (Ed), Ablowitz M.J. (Ed) Ч Introduction to Symmetry Analysis325, 330, 335, 339, 348, 352
Schroeder M.R. Ч Schroeder, Self Similarity: Chaos, Fractals, Power Laws117, 269, 271
Chaisson E.J. Ч Cosmic Evolution: The Rise of Complexity in Nature53Ч55
Nitecki Z. (ed), Robinson C. (ed) Ч Global Theory of Dynamical Systems14, 16, 20, 21
Greenberg M.D. Ч Advanced engineering mathematics368
Gerstner W., Kistler W.M. Ч Spiking Neuron Models86
Sparrow C. Ч The Lorenz equations: bifurcation, chaos, and strange attractors6, 7, 9, 16, 20, 22, 23, 39, 40, 42, 50Ч75, 91Ч93, 99, 106, 107, 115, 118, 139, 149, 154, 161Ч172, 179, 183Ч191, 208, 210, 218Ч220
Stakgold I. Ч Green's Functions and Boundary Value Problemssee "Branching"
Holden A.V. Ч Chaos41
Haake F. Ч Quantum signatures of chaos318
Hilborn R.C. Ч Chaos and nonlinear dynamics166Ч171
Libai A., Simmonds J.G. Ч The Nonlinear Theory of Elastic Shells124, 125, 133, 136, 271, 272, 302, 303, 306n, 317, 318, 320, 355, 356
Struwe M., Rappoport M. Ч Variational Methods: Applications to Nonlinear Partial Differential Equations and Hamiltonian Systems164 ff.
Sanders J.A., Verhulst F. Ч Averaging methods in nonlinear dynamical systems153, 155, 157, 167, 172
Atkinson D., Johnson P.W. Ч Exercises in Quantum Field Theory: A Self-Contained Book of Questions and Answers209
Landau L.D., Lifschitz E.M. Ч Fluid Mechanics. Vol. 6109
Ascher U.M., Russell R.D., Mattheij R.M. Ч Numerical Solution of Boundary Value Problems for Ordinary Differential Equations490
Mattheij R.M.M., Molenaar J. Ч Ordinary Differential Equations in Theory and Practice (Classics in Applied Mathematics) (No. 43)152, 372
Zieschang H. Ч Surfaces and Planar Discontinuous Groups69, 179
Sattinger D.H., Weaver O.L. Ч Lie groups and algebras with applications to physics, geometry, and mechanics201
Cowan B. Ч Topics In Statistical Mechanics198
Poole Jr.C.P., Owens F.J. Ч Introduction to Nanotechnology299Ч302
Dresselhaus M.S., Dresselhaus G., Avouris Ph. Ч Carbon nanotubes302, 308, 310, 313
Nicolis G., Prigogine I. Ч Self-organization in nonequilibrium systems71, 83
Seul M., O'Gorman L., Sammon M.J. Ч Practical algorithms for image analysis. Description, examples, and code181
Holmes P., Lumley J.L., Berkooz G. Ч Turbulence, Coherent Structures, Dynamical Systems and Symmetry7, 9Ч12, 31, 174Ч187
Bogaevski V.T., Povzner A. Ч Algebraic Methods In Nonlinear Perturbation Theory98
Prigogine I. Ч From being to becoming: time and complexity in the physical sciences.103, 105, 109Ч110, 116, 147, 204
Grasman J. Ч Asymptotic methods for relaxation oscillations and applications194
Nash C. Ч Differential Topology and Quantum Field Theory198
van der Giessen E., Wu T. Y. Ч Advances in Applied Mechanics, Volume 345, 13, 14, 357, 361, 372, 390, 392, 393, 395Ч397, 413
Mullin T. Ч The nature of chaos11Ч13
Blanchard P., Devaney R.L. Ч Differential Equations96Ч107
Roads —.(ed.) Ч Musical signal processing216
Astfalk G. Ч Applications on Advanced Architecture Computers94, 97, 98, 100
Sattinger D.H. Ч Group Theoretic Methods in Bifurcation Theory4, 31, 40, 51
Akhmediev N., Ankiewicz A. Ч Dissipative Solitons117, 124, 320, 438
Krizek M., Somer L., Luca F. Ч 17 Lectures on Fermat Numbers: From Number Theory to Geometry182, 184
Wriggers P. Ч Computational Contact Mechanics389
Gumowski I., Mira Ch. Ч Recurrences and Discrete Dynamic Systems6, 21, 36, 33, 40, 94, 115, 129, 136, 146, 187, 196
Awrejcewicz J., Andrianov I.V., Manevitch L.I. Ч Asymptotic Approaches in Nonlinear Dynamics: New Trends and Applications93Ч95, 100, 260
Haken H. Ч Synergetics: an introduction110, 126
Gallavotti G. Ч Foundations of fluid mechanics251
Devaney R.L., Keen L. Ч Chaos and Fractals: The Mathematics Behind the Computer Graphics7
Murdock J.A. Ч Perturbations: Theory and Methods (Classics in Applied Mathematics)15, 18, 94, 129
Renardy M. Ч Mathematical Analysis of Viscoelastic Flows (Classics in Applied Mathematics)67Ч71
Stakgold I. Ч Green's functions and boundary value problemssee Branching
Ercolani N.M., Gabitov I.R., Levermore C.D. Ч Singular limits of dispersive waves39Ч40, 48, 305, 306, 309, 311
Lauterborn W., Kurz T. Ч Coherent optics201
Lauterborn W., Kurz T. Ч Coherent optics201
Rubinstein I. Ч Electro-diffusion of ions125, 157, 213, 220, 235
Hirsch M.W., Smale S. Ч Differential Equations, Dynamical Systems, and Linear Algebra227, 255
Hackbusch W. Ч Multi-Grid Methods and Applications269f
Hobbie R., Roth B. Ч Intermediate Physics for Medicine and Biology,266
Friedlander S.(ed.), Serre D.(ed.) Ч Handbook of Mathematical Fluid Dynamics445, 473
Reithmeier E. Ч Periodic Solutions of Nonlinear Dynamical Systems: Numerical Computation, Stability, Bifurcation and Transition to Chaos3, 7, 47, 53, 66
Schaaf R. Ч Global Solution Branches of Two Point Boundary Value Problemsiii
Streater R.F. Ч Statistical Dynamics: A Stochastic Approach to Nonequilibrium Thermodynamics127
Greiner W. Ч Classical mechanics. Systems of particles and hamiltonian dynamics452
Zeidler E. Ч Oxford User's Guide to Mathematics289, 444, 801
Pier J.-P. Ч Mathematical Analysis during the 20th Century247
Hassani S. Ч Mathematical Methods: for Students of Physics and Related Fields757
Kloeden P/, Platen E., Schurz H. Ч Numerical solution of SDE through computer experiments255, 262
Wang D. (ed.), Zheng Z. (ed.) Ч Differential Equations with Symbolic Computations1, 121
Lemaitre J., Desmorat R. Ч Engineering Damage Mechanics: Ductile, Creep, Fatigue and Brittle Failures66
Meyer K.R. Ч Periodic Solutions of the N-Body Problem98Ч100
Takeuchi Y., Iwasa Y., Sato K. Ч Mathematics for Life Science and Medicine21, 90
Ruelle D. Ч Elements of Differentiable Dynamics and Bifurcation Theorysee also "Specific bifurcations"
Greenberg M. Ч Advanced engineering mathematics368
Cercignani C. Ч Rarefied Gas Dynamics246
Lord E., Wilson C. Ч The Mathematical Description of Shape and Form (Mathematics and Its Applications)105
Davies P. Ч The New Physics311, 334, 338Ч339, 343
Bangerth W., Rannacher R. Ч Adaptive Finite Element Methods for Differential Equations75
Landau L., Sykes J. Ч Fluid Mechanics: Vol 6 (Course of Theoretical Physics)109
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