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Smooth and nonsmooth high dimensional chaos and the melnikov-type methods [[electronic resource] /] / Jan Awrejcewicz, Mariusz M. Holicke
| Smooth and nonsmooth high dimensional chaos and the melnikov-type methods [[electronic resource] /] / Jan Awrejcewicz, Mariusz M. Holicke |
| Autore | Awrejcewicz J (Jan) |
| Pubbl/distr/stampa | New Jersey, : World Scientific, c2007 |
| Descrizione fisica | 1 online resource (318 p.) |
| Disciplina | 003/.857 |
| Altri autori (Persone) | HolickeMariusz M |
| Collana | World Scientific series on nonlinear science. Series A |
| Soggetto topico |
Chaotic behavior in systems
Differentiable dynamical systems Nonlinear oscillators |
| Soggetto genere / forma | Electronic books. |
| ISBN |
1-281-91872-5
9786611918729 981-270-910-X |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Contents; Preface; 1. A Role of the Melnikov-Type Methods in Applied Sciences; 1.1 Introduction; 1.2 Application of the Melnikov-type methods; 2. Classical Melnikov Approach; 2.1 Introduction; 2.2 Geometric interpretation; 2.3 Melnikov's function; 3. Homoclinic Chaos Criterion in a Rotated Froude Pendulum with Dry Friction; 3.1 Mathematical Model; 3.2 Homoclinic Chaos Criterion; 3.3 Numerical Simulations; 4. Smooth and Nonsmooth Dynamics of a Quasi- Autonomous Oscillator with Coulomb and Viscous Frictions; 4.1 Stick-Slip Oscillator with Periodic Excitation
4.2 Analysis of the Wandering Trajectories4.3 Comparison of Analytical and Numerical Results; 5. Application of the Melnikov-Gruendler Method to Mechanical Systems; 5.1 Mechanical Systems with Finite Number of Degrees-of- Freedom; 5.2 2-DOFs Mechanical Systems; 5.3 Reduction of the Melnikov-Gruendler Method for 1-DOF Systems; 6. A Self-Excited Spherical Pendulum; 6.1 Analytical Prediction of Chaos; 6.2 Numerical Results; 7. A Double Self-excited Duffing-type Oscillator; 7.1 Analytical Prediction of Chaos; 7.2 Numerical Simulations; 7.3 Additional Numerical Example 8. A Triple Self-Excited Du ng-type Oscillator8.1 Physical and Mathematical Models; 8.2 Analytical Prediction of Homoclinic Intersections; Bibliography; Index |
| Record Nr. | UNINA-9910451213803321 |
Awrejcewicz J (Jan)
|
||
| New Jersey, : World Scientific, c2007 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Smooth and nonsmooth high dimensional chaos and the melnikov-type methods [[electronic resource] /] / Jan Awrejcewicz, Mariusz M. Holicke
| Smooth and nonsmooth high dimensional chaos and the melnikov-type methods [[electronic resource] /] / Jan Awrejcewicz, Mariusz M. Holicke |
| Autore | Awrejcewicz J (Jan) |
| Pubbl/distr/stampa | New Jersey, : World Scientific, c2007 |
| Descrizione fisica | 1 online resource (318 p.) |
| Disciplina | 003/.857 |
| Altri autori (Persone) | HolickeMariusz M |
| Collana | World Scientific series on nonlinear science. Series A |
| Soggetto topico |
Chaotic behavior in systems
Differentiable dynamical systems Nonlinear oscillators |
| ISBN |
1-281-91872-5
9786611918729 981-270-910-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Contents; Preface; 1. A Role of the Melnikov-Type Methods in Applied Sciences; 1.1 Introduction; 1.2 Application of the Melnikov-type methods; 2. Classical Melnikov Approach; 2.1 Introduction; 2.2 Geometric interpretation; 2.3 Melnikov's function; 3. Homoclinic Chaos Criterion in a Rotated Froude Pendulum with Dry Friction; 3.1 Mathematical Model; 3.2 Homoclinic Chaos Criterion; 3.3 Numerical Simulations; 4. Smooth and Nonsmooth Dynamics of a Quasi- Autonomous Oscillator with Coulomb and Viscous Frictions; 4.1 Stick-Slip Oscillator with Periodic Excitation
4.2 Analysis of the Wandering Trajectories4.3 Comparison of Analytical and Numerical Results; 5. Application of the Melnikov-Gruendler Method to Mechanical Systems; 5.1 Mechanical Systems with Finite Number of Degrees-of- Freedom; 5.2 2-DOFs Mechanical Systems; 5.3 Reduction of the Melnikov-Gruendler Method for 1-DOF Systems; 6. A Self-Excited Spherical Pendulum; 6.1 Analytical Prediction of Chaos; 6.2 Numerical Results; 7. A Double Self-excited Duffing-type Oscillator; 7.1 Analytical Prediction of Chaos; 7.2 Numerical Simulations; 7.3 Additional Numerical Example 8. A Triple Self-Excited Du ng-type Oscillator8.1 Physical and Mathematical Models; 8.2 Analytical Prediction of Homoclinic Intersections; Bibliography; Index |
| Record Nr. | UNINA-9910784729503321 |
|
Awrejcewicz J (Jan)
|
||
| New Jersey, : World Scientific, c2007 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Smooth and nonsmooth high dimensional chaos and the melnikov-type methods [[electronic resource] /] / Jan Awrejcewicz, Mariusz M. Holicke
| Smooth and nonsmooth high dimensional chaos and the melnikov-type methods [[electronic resource] /] / Jan Awrejcewicz, Mariusz M. Holicke |
| Autore | Awrejcewicz J (Jan) |
| Pubbl/distr/stampa | New Jersey, : World Scientific, c2007 |
| Descrizione fisica | 1 online resource (318 p.) |
| Disciplina | 003/.857 |
| Altri autori (Persone) | HolickeMariusz M |
| Collana | World Scientific series on nonlinear science. Series A |
| Soggetto topico |
Chaotic behavior in systems
Differentiable dynamical systems Nonlinear oscillators |
| ISBN |
1-281-91872-5
9786611918729 981-270-910-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Contents; Preface; 1. A Role of the Melnikov-Type Methods in Applied Sciences; 1.1 Introduction; 1.2 Application of the Melnikov-type methods; 2. Classical Melnikov Approach; 2.1 Introduction; 2.2 Geometric interpretation; 2.3 Melnikov's function; 3. Homoclinic Chaos Criterion in a Rotated Froude Pendulum with Dry Friction; 3.1 Mathematical Model; 3.2 Homoclinic Chaos Criterion; 3.3 Numerical Simulations; 4. Smooth and Nonsmooth Dynamics of a Quasi- Autonomous Oscillator with Coulomb and Viscous Frictions; 4.1 Stick-Slip Oscillator with Periodic Excitation
4.2 Analysis of the Wandering Trajectories4.3 Comparison of Analytical and Numerical Results; 5. Application of the Melnikov-Gruendler Method to Mechanical Systems; 5.1 Mechanical Systems with Finite Number of Degrees-of- Freedom; 5.2 2-DOFs Mechanical Systems; 5.3 Reduction of the Melnikov-Gruendler Method for 1-DOF Systems; 6. A Self-Excited Spherical Pendulum; 6.1 Analytical Prediction of Chaos; 6.2 Numerical Results; 7. A Double Self-excited Duffing-type Oscillator; 7.1 Analytical Prediction of Chaos; 7.2 Numerical Simulations; 7.3 Additional Numerical Example 8. A Triple Self-Excited Du ng-type Oscillator8.1 Physical and Mathematical Models; 8.2 Analytical Prediction of Homoclinic Intersections; Bibliography; Index |
| Record Nr. | UNINA-9910807384703321 |
|
Awrejcewicz J (Jan)
|
||
| New Jersey, : World Scientific, c2007 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||