Harvard |

Harvard

Matches in Harvard for { <http://id.lib.harvard.edu/aleph/008195750/catalog> ?p ?o. }

Showing items 1 to 24 of 24 with 100 items per page.

catalog contributor b11399279.
catalog created "c2001.".
catalog date "2001".
catalog date "c2001.".
catalog dateCopyrighted "c2001.".
catalog description "3.11. Patterns of singularities for nonintegrable systems -- 3.12. Finite time blow-up -- Ch. 4. Polynomial and quasi-polynomial vector fields -- 4.1. The quasimonomial systems -- 4.2. The quasimonomial transformations -- 4.3. New-time transformations -- 4.4. Canonical forms -- 4.5. The Newton polyhedron -- 4.6. Transformation of the Newton polyhedron -- 4.7. Historical digression: a new-old formalism -- 4.8. Algebraic Degeneracy -- 4.9. Transformation of first integrals -- 4.10. An algorithm for polynomial first integrals -- 4.11. Jacobi's last multiplier for quasimonomial systems -- 4.12. Application: semi-simple normal forms -- 4.13. Quasimonomial transformation and the Painleve property -- 4.14. Painleve tests and quasimonomial transformations -- 4.15. The Painleve test for the Lotka-Volterra form -- 4.16. Transformation of singularities -- Ch. 5. Nonintegrability -- 5.1. The general approach: the variational equation -- 5.2. First integrals and linear eigenvalues -- ".
catalog description "5.3. First integrals and Kovalevskaya exponents -- 5.4. Complete integrability and resonances -- 5.5. Complete integrability and logarithmic branch points -- 5.6. Multivalued first integral and local solutions -- 5.7. Partial integrability -- Ch. 6. Hamiltonian systems -- 6.1. Hamiltonian systems -- 6.2. Complete integrability -- 6.3. Algebraic integrability -- 6.4. Ziglin's theory of nonintegrability -- Ch. 7. Nearly integrable dynamical systems -- 7.1. General setup -- 7.2. A perturbative singularity analysis -- 7.3. The Melnikov vector in n dimensions -- 7.4. Singularity analysis and the Melnikov vector -- 7.5. The algorithmic procedure -- 7.6. Some illustrative examples -- Ch. 8. Open problems.".
catalog description "Ch. 1. Introduction -- 1.1. A planar system -- 1.2. The Lorenz system -- Ch. 2. Integrability: an algebraic approach -- 2.1. First integrals -- 2.2. Classes of functions -- 2.3. Homogeneous vector fields -- 2.4. Building first integrals -- 2.5. Second integrals -- 2.6. Third integrals -- 2.7. Higher integrals -- 2.8. Class-reduction -- 2.9. First integrals for vector fields in [Reimann integral][superscript 3]: the compatibility analysis -- 2.10. Integrability -- 2.11. Jacobi's last multiplier method -- 2.12. Lax pairs -- Ch. 3. Integrability: an analytic approach -- 3.1. Singularities of functions -- 3.2. Solutions of differential equations -- 3.3. Singularities of linear differential equations -- 3.4. Singularities of nonlinear differential equations -- 3.5. The Painleve property -- 3.6. Painleve equations and integrable PDEs -- 3.7. The PDE Painleve test -- 3.8. Singularity analysis -- 3.9. The Painleve tests -- 3.10. The weak-Painleve conjecture -- ".
catalog description "Includes bibliographical references (p. 385-409) and index.".
catalog extent "xviii, 415 p. :".
catalog identifier "981023533X".
catalog isPartOf "Advanced series in nonlinear dynamics ; v. 19".
catalog issued "2001".
catalog issued "c2001.".
catalog language "eng".
catalog publisher "Singapore ; River Edge, NJ : World Scientific,".
catalog subject "Differentiable dynamical systems.".
catalog subject "Differential equations, Nonlinear.".
catalog subject "QA614.8 .G67 2001".
catalog tableOfContents "3.11. Patterns of singularities for nonintegrable systems -- 3.12. Finite time blow-up -- Ch. 4. Polynomial and quasi-polynomial vector fields -- 4.1. The quasimonomial systems -- 4.2. The quasimonomial transformations -- 4.3. New-time transformations -- 4.4. Canonical forms -- 4.5. The Newton polyhedron -- 4.6. Transformation of the Newton polyhedron -- 4.7. Historical digression: a new-old formalism -- 4.8. Algebraic Degeneracy -- 4.9. Transformation of first integrals -- 4.10. An algorithm for polynomial first integrals -- 4.11. Jacobi's last multiplier for quasimonomial systems -- 4.12. Application: semi-simple normal forms -- 4.13. Quasimonomial transformation and the Painleve property -- 4.14. Painleve tests and quasimonomial transformations -- 4.15. The Painleve test for the Lotka-Volterra form -- 4.16. Transformation of singularities -- Ch. 5. Nonintegrability -- 5.1. The general approach: the variational equation -- 5.2. First integrals and linear eigenvalues -- ".
catalog tableOfContents "5.3. First integrals and Kovalevskaya exponents -- 5.4. Complete integrability and resonances -- 5.5. Complete integrability and logarithmic branch points -- 5.6. Multivalued first integral and local solutions -- 5.7. Partial integrability -- Ch. 6. Hamiltonian systems -- 6.1. Hamiltonian systems -- 6.2. Complete integrability -- 6.3. Algebraic integrability -- 6.4. Ziglin's theory of nonintegrability -- Ch. 7. Nearly integrable dynamical systems -- 7.1. General setup -- 7.2. A perturbative singularity analysis -- 7.3. The Melnikov vector in n dimensions -- 7.4. Singularity analysis and the Melnikov vector -- 7.5. The algorithmic procedure -- 7.6. Some illustrative examples -- Ch. 8. Open problems.".
catalog tableOfContents "Ch. 1. Introduction -- 1.1. A planar system -- 1.2. The Lorenz system -- Ch. 2. Integrability: an algebraic approach -- 2.1. First integrals -- 2.2. Classes of functions -- 2.3. Homogeneous vector fields -- 2.4. Building first integrals -- 2.5. Second integrals -- 2.6. Third integrals -- 2.7. Higher integrals -- 2.8. Class-reduction -- 2.9. First integrals for vector fields in [Reimann integral][superscript 3]: the compatibility analysis -- 2.10. Integrability -- 2.11. Jacobi's last multiplier method -- 2.12. Lax pairs -- Ch. 3. Integrability: an analytic approach -- 3.1. Singularities of functions -- 3.2. Solutions of differential equations -- 3.3. Singularities of linear differential equations -- 3.4. Singularities of nonlinear differential equations -- 3.5. The Painleve property -- 3.6. Painleve equations and integrable PDEs -- 3.7. The PDE Painleve test -- 3.8. Singularity analysis -- 3.9. The Painleve tests -- 3.10. The weak-Painleve conjecture -- ".
catalog title "Integrability and nonintegrability of dynamical systems / by Alain Goriely.".
catalog type "text".