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Description
The Art of Modeling Dynamic Systems: Forecasting for Chaos, Randomness, and DeterminismThis text illustrates the roles of statistical methods, coordinate transformations, and mathematical analysis in mapping complex, unpredictable dynamical systems. It describes the benefits and limitations of the available modeling tools, showing engineers and scientists how any system can be rendered simpler and more predictable. Written by a well known authority in the field, this volume employs practical examples and analogies to make models more
This text illustrates the roles of statistical methods, coordinate transformations, and mathematical analysis in mapping complex, unpredictable dynamical systems. It describes the benefits and limitations of the available modeling tools, showing engineers and scientists how any system can be rendered simpler and more predictable.Written by a well-known authority in the field, this volume employs practical examples and analogies to make models more meaningful. The more universal methods appear in considerable detail, and advanced dynamic principles feature easy-to-understand examples. The text draws careful distinctions between mathematical abstractions and observable realities. Additional topics include the role of pure mathematics, the limitations of numerical methods, forecasting in the presence of chaos and randomness, and dynamics without calculus. Specialized techniques and case histories are coordinated with a carefully selected and annotated bibliography. The original edition was a Library of Science Main Selection in May, 1991. This new Dover edition features corrections by the author and a new Preface.
Binding Type: Paperback
Publisher: Dover Publications
Published: 01/24/2008
ISBN: 9780486462950
Pages: 387
Weight: 0.94lbs
Size: 8.51h x 5.98w x 0.81d
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★★★★★ 4
Great for pm at the park!
This is alot like Nite Eyez but not as good but if you have never used Nite Eyez you will love this!! I have an am. staff that i take to the park at night so she can run around without the fear of a dog running up on her (she doesn't like that) and this ball is great! Stays lit and changes colors and it she cant destroy it!
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Reviewed in the United States on November 1, 2025
★★★★★ 5
Works Great!
This is a new version of an old style that was the best most durable, and long lasting night time balls!!! They stay on long enough for me to find if my lab cant find it. (We have an acre backyard and in ground swimming pool) sometimes I have to retrieve it. Stays on and auto shuts off after inactivity. They ARE waterproof and we play in the pool with them on night swims. My lab is very hard on balls, very few hold hold up to his chomping on them. Great balls!!
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Reviewed in the United States on October 30, 2025
★★★★★ 1
not worth the cost
I love these balls for night time ball playing but they dont last. The last 4 Ive bought havent worked well or lasted more than a month. They were once worth the money
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Reviewed in the United States on April 1, 2026
★★★★★ 3
Great Idea but they will let you down eventually
I have used these for years during the winter. The price has nearly tripled but the longevity is the same. I normally purchase three with one being a spare. Within a few weeks they start going. I switch batteries etc but normally that does not help. Its a great idea and my dogs love them but they dont hold up to 10 minutes of play each nite. We do not throw them either, I roll them or kick them as my dogs are older
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Reviewed in the United States on November 12, 2025
★★★★★ 5
Great product
Very good. Hours of fun with the dog.
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Reviewed in the United States on March 3, 2026