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Frontiers in complex dynamics : in celebration of John Milnor's 80th birthday / / edited by Araceli Bonifant, Mikhail Lyubich, and Scott Sutherland
| Frontiers in complex dynamics : in celebration of John Milnor's 80th birthday / / edited by Araceli Bonifant, Mikhail Lyubich, and Scott Sutherland |
| Autore | Bonifant Araceli |
| Edizione | [Course Book] |
| Pubbl/distr/stampa | Princeton, New Jersey ; ; Oxfordshire, England : , : Princeton University Press, , 2014 |
| Descrizione fisica | 1 online resource (824 p.) |
| Disciplina | 515.9 |
| Altri autori (Persone) |
BonifantAraceli
LyubichMikhail SutherlandScott |
| Collana | Princeton Mathematical Series |
| Soggetto topico |
Functions of complex variables
Differentiable dynamical systems |
| Soggetto non controllato |
John Milnor
Jordan curves Julia sets K-theory M. Hakim Maldelbrot set Milnor's conjecture Sierpinski carpets Sierpinski gaskets Thurston Rigidity Theorem William Thurston antiholomorphic quadratic polynomials antiholomorphic unicritical polynomials arithmetics asymptotic behavior automorphisms biholomorphisms combinatorial group theory complex manifolds complex polynomials conformal distortion conjugacy connectedness loci critical objects critical point critically finite case decomposition differential geometry differential topology dynamical cores dynamical derivatives dynamical scales dynamical systems dynamics eigenvalues entropy theory entropy escape regions expanding critical orbits external rays geometrically finite rational maps global meromorphic maps holomorphic dynamics studies holomorphic dynamics holomorphic germs holomorphic maps hyperbolic distortion hyperbolic geometry hyperbolicity identity germ implosions index theorems infinitely renormalizable quadratic polynomials integral closure interval dynamics irreducibility kneading sequences laminations leading monomial vector leading monomials limiting behavior local connectivity local dynamics mathematics mating metric stability monotonicity multicorn non-locally connected Julia sets one-dimensional maps periodic critical orbit periodic objects periodic orbits perturbations polynomials postcritically finite maps projective space pushforwards quadratic differentials quadratic dynatomic curves quadratic polynomials random walks rational maps renormalization theory resurgence theory rigidity robustness singularly perturbed rational maps smoothness spherical geometry summability condition summable critical points topological entropy topological polynomials topological space transversality theory tricorn unbounded hyperbolic components unicritical polynomial maps unimodal interval map unmating |
| ISBN |
1-4008-5139-4
1-4008-5131-9 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Front matter -- Contents -- Preface -- Introduction -- Part I. One Complex Variable -- Arithmetic of Unicritical Polynomial Maps / Milnor, John -- Les racines des composantes hyperboliques de M sont des quarts d'entiers algébriques / Bousch, Thierry -- Dynamical cores of topological polynomials / Blokh, Alexander / Oversteegen, Lex / Ptacek, Ross / Timorin, Vladlen -- The quadratic dynatomic curves are smooth and irreducible / Bu, Xavier / Lei, Tan -- Multicorns are not path connected / Hubbard, John Hamal / Schleicher, Dierk -- Leading monomials of escape regions / Kiwi, Jan -- Limiting behavior of Julia sets of singularly perturbed rational maps / Devaney, Robert L. -- On (non-)local connectivity of some Julia sets / Dezotti, Alexandre / Roesch, Pascale -- Perturbations of weakly expanding critical orbits / Levin, Genadi -- Unmating of rational maps: Sufficient criteria and examples / Meyer, Daniel -- A framework toward understanding the characterization of holomorphic dynamics / Jiang, Yunping -- Part II. One Real Variable -- Metric stability for random walks (with applications in renormalization theory) / Moreira, Carlos Gustavo / Smania, Daniel -- Milnor's conjecture on monotonicity of topological entropy: Results and questions / Strien, Sebastian van -- Entropy in dimension one / Thurston, William P. -- Part III. Several Complex Variables -- On Écalle-Hakim's theorems in holomorphic dynamics / Arizzi, Marco / Raissy, Jasmin -- Index theorems for meromorphic self-maps of the projective space / Abate, Marco -- Dynamics of automorphisms of compact complex surfaces / Cantat, Serge -- Bifurcation currents and equidistribution in parameter space / Dujardin, Romain -- Part IV. Laminations and Foliations -- Entropy for hyperbolic Riemann surface laminations I / Dinh, Tien-Cuong / Nguyên, Viet-Anh / Sibony, Nessim -- Entropy for hyperbolic Riemann surface laminations II / Dinh, Tien-Cuong / Nguyên, Viet-Anh / Sibony, Nessim -- Intersection theory for ergodic solenoids / Muñoz, Vicente / Pérez-Marco, Ricardo -- Invariants of four-manifolds with flows via cohomological field theory / García-Compeán, Hugo / Santos-Silva, Roberto / Verjovsky, Alberto -- Color Plates -- Part V. Geometry and Algebra -- Two papers which changed my life: Milnor's seminal work on at manifolds and bundles / Goldman, William M. -- Milnor's problem on the growth of groups and its consequences / Grigorchuk, Rostislav -- Contributors -- Index |
| Record Nr. | UNINA-9910789017803321 |
Bonifant Araceli
|
||
| Princeton, New Jersey ; ; Oxfordshire, England : , : Princeton University Press, , 2014 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Frontiers in complex dynamics : in celebration of John Milnor's 80th birthday / / edited by Araceli Bonifant, Mikhail Lyubich, and Scott Sutherland
| Frontiers in complex dynamics : in celebration of John Milnor's 80th birthday / / edited by Araceli Bonifant, Mikhail Lyubich, and Scott Sutherland |
| Autore | Bonifant Araceli |
| Edizione | [Course Book] |
| Pubbl/distr/stampa | Princeton, New Jersey ; ; Oxfordshire, England : , : Princeton University Press, , 2014 |
| Descrizione fisica | 1 online resource (824 p.) |
| Disciplina | 515.9 |
| Altri autori (Persone) |
BonifantAraceli
LyubichMikhail SutherlandScott |
| Collana | Princeton Mathematical Series |
| Soggetto topico |
Functions of complex variables
Differentiable dynamical systems |
| Soggetto non controllato |
John Milnor
Jordan curves Julia sets K-theory M. Hakim Maldelbrot set Milnor's conjecture Sierpinski carpets Sierpinski gaskets Thurston Rigidity Theorem William Thurston antiholomorphic quadratic polynomials antiholomorphic unicritical polynomials arithmetics asymptotic behavior automorphisms biholomorphisms combinatorial group theory complex manifolds complex polynomials conformal distortion conjugacy connectedness loci critical objects critical point critically finite case decomposition differential geometry differential topology dynamical cores dynamical derivatives dynamical scales dynamical systems dynamics eigenvalues entropy theory entropy escape regions expanding critical orbits external rays geometrically finite rational maps global meromorphic maps holomorphic dynamics studies holomorphic dynamics holomorphic germs holomorphic maps hyperbolic distortion hyperbolic geometry hyperbolicity identity germ implosions index theorems infinitely renormalizable quadratic polynomials integral closure interval dynamics irreducibility kneading sequences laminations leading monomial vector leading monomials limiting behavior local connectivity local dynamics mathematics mating metric stability monotonicity multicorn non-locally connected Julia sets one-dimensional maps periodic critical orbit periodic objects periodic orbits perturbations polynomials postcritically finite maps projective space pushforwards quadratic differentials quadratic dynatomic curves quadratic polynomials random walks rational maps renormalization theory resurgence theory rigidity robustness singularly perturbed rational maps smoothness spherical geometry summability condition summable critical points topological entropy topological polynomials topological space transversality theory tricorn unbounded hyperbolic components unicritical polynomial maps unimodal interval map unmating |
| ISBN |
1-4008-5139-4
1-4008-5131-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Front matter -- Contents -- Preface -- Introduction -- Part I. One Complex Variable -- Arithmetic of Unicritical Polynomial Maps / Milnor, John -- Les racines des composantes hyperboliques de M sont des quarts d'entiers algébriques / Bousch, Thierry -- Dynamical cores of topological polynomials / Blokh, Alexander / Oversteegen, Lex / Ptacek, Ross / Timorin, Vladlen -- The quadratic dynatomic curves are smooth and irreducible / Bu, Xavier / Lei, Tan -- Multicorns are not path connected / Hubbard, John Hamal / Schleicher, Dierk -- Leading monomials of escape regions / Kiwi, Jan -- Limiting behavior of Julia sets of singularly perturbed rational maps / Devaney, Robert L. -- On (non-)local connectivity of some Julia sets / Dezotti, Alexandre / Roesch, Pascale -- Perturbations of weakly expanding critical orbits / Levin, Genadi -- Unmating of rational maps: Sufficient criteria and examples / Meyer, Daniel -- A framework toward understanding the characterization of holomorphic dynamics / Jiang, Yunping -- Part II. One Real Variable -- Metric stability for random walks (with applications in renormalization theory) / Moreira, Carlos Gustavo / Smania, Daniel -- Milnor's conjecture on monotonicity of topological entropy: Results and questions / Strien, Sebastian van -- Entropy in dimension one / Thurston, William P. -- Part III. Several Complex Variables -- On Écalle-Hakim's theorems in holomorphic dynamics / Arizzi, Marco / Raissy, Jasmin -- Index theorems for meromorphic self-maps of the projective space / Abate, Marco -- Dynamics of automorphisms of compact complex surfaces / Cantat, Serge -- Bifurcation currents and equidistribution in parameter space / Dujardin, Romain -- Part IV. Laminations and Foliations -- Entropy for hyperbolic Riemann surface laminations I / Dinh, Tien-Cuong / Nguyên, Viet-Anh / Sibony, Nessim -- Entropy for hyperbolic Riemann surface laminations II / Dinh, Tien-Cuong / Nguyên, Viet-Anh / Sibony, Nessim -- Intersection theory for ergodic solenoids / Muñoz, Vicente / Pérez-Marco, Ricardo -- Invariants of four-manifolds with flows via cohomological field theory / García-Compeán, Hugo / Santos-Silva, Roberto / Verjovsky, Alberto -- Color Plates -- Part V. Geometry and Algebra -- Two papers which changed my life: Milnor's seminal work on at manifolds and bundles / Goldman, William M. -- Milnor's problem on the growth of groups and its consequences / Grigorchuk, Rostislav -- Contributors -- Index |
| Record Nr. | UNINA-9910828074103321 |
|
Bonifant Araceli
|
||
| Princeton, New Jersey ; ; Oxfordshire, England : , : Princeton University Press, , 2014 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Nonlinear Dynamics and Entropy of Complex Systems with Hidden and Self-excited Attractors / Jesus M. Munoz-Pacheco, Jacques Kengne, Sajad Jafari, Christos Volos
| Nonlinear Dynamics and Entropy of Complex Systems with Hidden and Self-excited Attractors / Jesus M. Munoz-Pacheco, Jacques Kengne, Sajad Jafari, Christos Volos |
| Autore | Munoz-Pacheco Jesus M |
| Pubbl/distr/stampa | MDPI - Multidisciplinary Digital Publishing Institute, 2019 |
| Descrizione fisica | 1 electronic resource (290 p.) |
| Soggetto topico | History of engineering and technology |
| Soggetto non controllato |
S-Box algorithm
empirical mode decomposition service game existence hyperchaotic system static memory complex-variable chaotic system neural network fractional-order permutation entropy adaptive approximator-based control BOPS Bogdanov Map complex systems Thurston’s algorithm parameter estimation fractional discrete chaos full state hybrid projective synchronization self-excited attractor stability PRNG inverse full state hybrid projective synchronization entropy measure chaos chaotic flow multistable core entropy multiscale multivariate entropy multistability new chaotic system strange attractors chaotic systems spatial dynamics spectral entropy resonator stochastic (strong) entropy solution multichannel supply chain Hubbard tree approximate entropy circuit design coexistence sample entropy chaotic maps chaotic map Gaussian mixture model entropy laser Non-equilibrium four-dimensional chaotic system multiple attractors projective synchronization hidden attractors hidden attractor chaotic system entropy analysis self-excited attractors multiple-valued self-reproducing system implementation unknown complex parameters optimization methods image encryption generalized synchronization uncertain dynamics fractional order nonlinear transport equation external rays Lyapunov exponents inverse generalized synchronization fixed point uniqueness electronic circuit realization synchronization Hopf bifurcation |
| ISBN |
9783038978992
303897899X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910346839603321 |
|
Munoz-Pacheco Jesus M
|
||
| MDPI - Multidisciplinary Digital Publishing Institute, 2019 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||