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Chaos and fractals [[electronic resource] ] : a computer graphical journey : ten year compilation of advanced research / / edited by Clifford A. Pickover
| Chaos and fractals [[electronic resource] ] : a computer graphical journey : ten year compilation of advanced research / / edited by Clifford A. Pickover |
| Pubbl/distr/stampa | Amsterdam ; ; New York, : Elsevier, 1998 |
| Descrizione fisica | 1 online resource (469 p.) |
| Disciplina | 006.6 |
| Altri autori (Persone) | PickoverClifford A |
| Soggetto topico |
Computer graphics
Fractals |
| Soggetto genere / forma | Electronic books. |
| ISBN |
1-281-02621-2
9786611026219 0-08-052886-4 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Front Cover; CHAOS AND FRACTALS; Copyright Page; Preface; Introduction; Contents; Part I: Geometry and Nature; Chapter 1. Chaos game visualization of sequences; Chapter 2. Tumor growth simulation; Chapter 3. Computer simulation of the morphology and development of several species of seaweed using Lindenmayer systems; Chapter 4. Generating fractals from Voronoi diagrams; Chapter 5. Circles which kiss: a note on osculatory packing; Chapter 6. Graphical identification of spatio-temporal chaos; Chapter 7. Manifolds and control of chaotic systems
Chapter 8. A vacation on Mars - an artist's journey in a computer graphics worldPart II: Attractors; Chapter 9. Automatic generation of strange attractors; Chapter 10. Attractors with dueling symmetry; Chapter 11. A new feature in Henon's map; Chapter 12. Lyapunov exponents of the logistic map with periodic forcing; Chapter 13. Toward a better understanding of fractality in nature; Chapter 14. On the dynamics of real polynomials on the plane; Chapter 15. Phase portraits for parametrically excited pendula: an exercise in multidimensional data visualisation Chapter 16. Self-reference and paradox in two and three dimensionsChapter 17. Visualizing the effects of filtering chaotic signals; Chapter 18. Oscillating iteration paths in neural networks learning; Chapter 19. The crying of fractal batrachion 1,489; Chapter 20. Evaluating pseudo-random number generators; Part III: Cellular Automata, Gaskets, and Koch Curves; Chapter 21. Sensitivity in cellular automata: some examples; Chapter 22. One tub, eight blocks, twelve blinkers and other views of life; Chapter 23. Scouts in hyperspace; Chapter 24. Sierpinski fractals and GCDs Chapter 25. Complex patterns generated by next nearest neighbors cellular automataChapter 26. On the congruence of binary patterns generated by modular arithmetic on a parent array; Chapter 27. A simple gasket derived from prime numbers; Chapter 28. Discrete approximation of the Koch curve; Chapter 29. Visualizing Cantor cheese construction; Chapter 30. Notes on Pascal's pyramid for personal computer users; Chapter 31. Patterns generated by logical operators; Part IV: Mandelbrot, Julia and Other Complex Maps Chapter 32. A tutorial on efficient computer graphic representations of the Mandelbrot setChapter 33. Julia sets in the quaternions; Chapter 34. Self-similar sequences and chaos from Gauss sums; Chapter 35. Color maps generated by ""trigonometric iteration loops""; Chapter 36. A note on Halley's method; Chapter 37. A note on some internal structures of the Mandelbrot set; Chapter 38. The method of secants; Chapter 39. A generalized Mandelbrot set and the role of critical points; Chapter 40. A new scaling along the spike of the Mandelbrot set; Chapter 41. Further insights into Halley's method Chapter 42. Visualizing the dynamics of the Rayleigh quotient iteration |
| Record Nr. | UNINA-9910457279103321 |
| Amsterdam ; ; New York, : Elsevier, 1998 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Chaos and fractals [[electronic resource] ] : a computer graphical journey : ten year compilation of advanced research / / edited by Clifford A. Pickover
| Chaos and fractals [[electronic resource] ] : a computer graphical journey : ten year compilation of advanced research / / edited by Clifford A. Pickover |
| Pubbl/distr/stampa | Amsterdam ; ; New York, : Elsevier, 1998 |
| Descrizione fisica | 1 online resource (469 p.) |
| Disciplina | 006.6 |
| Altri autori (Persone) | PickoverClifford A |
| Soggetto topico |
Computer graphics
Fractals |
| ISBN |
1-281-02621-2
9786611026219 0-08-052886-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Front Cover; CHAOS AND FRACTALS; Copyright Page; Preface; Introduction; Contents; Part I: Geometry and Nature; Chapter 1. Chaos game visualization of sequences; Chapter 2. Tumor growth simulation; Chapter 3. Computer simulation of the morphology and development of several species of seaweed using Lindenmayer systems; Chapter 4. Generating fractals from Voronoi diagrams; Chapter 5. Circles which kiss: a note on osculatory packing; Chapter 6. Graphical identification of spatio-temporal chaos; Chapter 7. Manifolds and control of chaotic systems
Chapter 8. A vacation on Mars - an artist's journey in a computer graphics worldPart II: Attractors; Chapter 9. Automatic generation of strange attractors; Chapter 10. Attractors with dueling symmetry; Chapter 11. A new feature in Henon's map; Chapter 12. Lyapunov exponents of the logistic map with periodic forcing; Chapter 13. Toward a better understanding of fractality in nature; Chapter 14. On the dynamics of real polynomials on the plane; Chapter 15. Phase portraits for parametrically excited pendula: an exercise in multidimensional data visualisation Chapter 16. Self-reference and paradox in two and three dimensionsChapter 17. Visualizing the effects of filtering chaotic signals; Chapter 18. Oscillating iteration paths in neural networks learning; Chapter 19. The crying of fractal batrachion 1,489; Chapter 20. Evaluating pseudo-random number generators; Part III: Cellular Automata, Gaskets, and Koch Curves; Chapter 21. Sensitivity in cellular automata: some examples; Chapter 22. One tub, eight blocks, twelve blinkers and other views of life; Chapter 23. Scouts in hyperspace; Chapter 24. Sierpinski fractals and GCDs Chapter 25. Complex patterns generated by next nearest neighbors cellular automataChapter 26. On the congruence of binary patterns generated by modular arithmetic on a parent array; Chapter 27. A simple gasket derived from prime numbers; Chapter 28. Discrete approximation of the Koch curve; Chapter 29. Visualizing Cantor cheese construction; Chapter 30. Notes on Pascal's pyramid for personal computer users; Chapter 31. Patterns generated by logical operators; Part IV: Mandelbrot, Julia and Other Complex Maps Chapter 32. A tutorial on efficient computer graphic representations of the Mandelbrot setChapter 33. Julia sets in the quaternions; Chapter 34. Self-similar sequences and chaos from Gauss sums; Chapter 35. Color maps generated by ""trigonometric iteration loops""; Chapter 36. A note on Halley's method; Chapter 37. A note on some internal structures of the Mandelbrot set; Chapter 38. The method of secants; Chapter 39. A generalized Mandelbrot set and the role of critical points; Chapter 40. A new scaling along the spike of the Mandelbrot set; Chapter 41. Further insights into Halley's method Chapter 42. Visualizing the dynamics of the Rayleigh quotient iteration |
| Record Nr. | UNINA-9910784433703321 |
| Amsterdam ; ; New York, : Elsevier, 1998 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Chaos and fractals : a computer graphical journey : ten year compilation of advanced research / / edited by Clifford A. Pickover
| Chaos and fractals : a computer graphical journey : ten year compilation of advanced research / / edited by Clifford A. Pickover |
| Edizione | [1st ed.] |
| Pubbl/distr/stampa | Amsterdam ; ; New York, : Elsevier, 1998 |
| Descrizione fisica | 1 online resource (469 p.) |
| Disciplina | 006.6 |
| Altri autori (Persone) | PickoverClifford A |
| Soggetto topico |
Computer graphics
Fractals |
| ISBN |
1-281-02621-2
9786611026219 0-08-052886-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Front Cover; CHAOS AND FRACTALS; Copyright Page; Preface; Introduction; Contents; Part I: Geometry and Nature; Chapter 1. Chaos game visualization of sequences; Chapter 2. Tumor growth simulation; Chapter 3. Computer simulation of the morphology and development of several species of seaweed using Lindenmayer systems; Chapter 4. Generating fractals from Voronoi diagrams; Chapter 5. Circles which kiss: a note on osculatory packing; Chapter 6. Graphical identification of spatio-temporal chaos; Chapter 7. Manifolds and control of chaotic systems
Chapter 8. A vacation on Mars - an artist's journey in a computer graphics worldPart II: Attractors; Chapter 9. Automatic generation of strange attractors; Chapter 10. Attractors with dueling symmetry; Chapter 11. A new feature in Henon's map; Chapter 12. Lyapunov exponents of the logistic map with periodic forcing; Chapter 13. Toward a better understanding of fractality in nature; Chapter 14. On the dynamics of real polynomials on the plane; Chapter 15. Phase portraits for parametrically excited pendula: an exercise in multidimensional data visualisation Chapter 16. Self-reference and paradox in two and three dimensionsChapter 17. Visualizing the effects of filtering chaotic signals; Chapter 18. Oscillating iteration paths in neural networks learning; Chapter 19. The crying of fractal batrachion 1,489; Chapter 20. Evaluating pseudo-random number generators; Part III: Cellular Automata, Gaskets, and Koch Curves; Chapter 21. Sensitivity in cellular automata: some examples; Chapter 22. One tub, eight blocks, twelve blinkers and other views of life; Chapter 23. Scouts in hyperspace; Chapter 24. Sierpinski fractals and GCDs Chapter 25. Complex patterns generated by next nearest neighbors cellular automataChapter 26. On the congruence of binary patterns generated by modular arithmetic on a parent array; Chapter 27. A simple gasket derived from prime numbers; Chapter 28. Discrete approximation of the Koch curve; Chapter 29. Visualizing Cantor cheese construction; Chapter 30. Notes on Pascal's pyramid for personal computer users; Chapter 31. Patterns generated by logical operators; Part IV: Mandelbrot, Julia and Other Complex Maps Chapter 32. A tutorial on efficient computer graphic representations of the Mandelbrot setChapter 33. Julia sets in the quaternions; Chapter 34. Self-similar sequences and chaos from Gauss sums; Chapter 35. Color maps generated by ""trigonometric iteration loops""; Chapter 36. A note on Halley's method; Chapter 37. A note on some internal structures of the Mandelbrot set; Chapter 38. The method of secants; Chapter 39. A generalized Mandelbrot set and the role of critical points; Chapter 40. A new scaling along the spike of the Mandelbrot set; Chapter 41. Further insights into Halley's method Chapter 42. Visualizing the dynamics of the Rayleigh quotient iteration |
| Record Nr. | UNINA-9910974754303321 |
| Amsterdam ; ; New York, : Elsevier, 1998 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||